Kind of ironic that you are pitching this with an ID you created 16 hours ago. Clearly there are some interactions you don't want tied back to your real life identity.
Some years ago, I was looking for London hotels on some booking site, and noticed that they were listed as being so-and-so many km (with .1 or even .01 precision) from London, which seemed amusing given that they were all in London. So I fired up QGIS and drew a circle (in some suitable projection!) with the indicated radius around each hotel, and found that they intersected on Nelson’s Column in Trafalgar Square.
As the parent indicated, this stuff is surprisingly standardised in London.
Distance is measured from Charing Cross.
The Cross is near Nelson's Column, but I would be surprised if the column was actually the central point.
As others have pointed out, this leads to some weirdness, as lots assume that the City (old London & older Roman London) would be the obvious place to measure things from.
The original Charing Cross was at the south of the square, where the statue of Charles I is now. (The cross at the railways station nearby is a Victorian folly).
There's also the confusion as to whether people mean 'Greater London' or 'The City of London'. For the centre of the City, i've generally thought that Leadenhall Market is the centre, given it is built on the original Roman Forum.
For non-Londoners, the city was originally a walled city, and lies to the east end of what is now considered greater london. It's these days synonymous with the financial industry. There are special laws for it, honours like Freedom of the City, it's quite an interesting place.
Although the wall is long gone, there are place names which refer to it, and the gates which exited through it. So we have roads like 'London Wall' and locations like Bishopsgate, Aldgate etc. Newgate was added in the 12th century, so not exactly 'New' these days, so not a very future proof naming convention...
There aren’t any special laws for the City of London (except any local byelaws). The City is administered in its own unique way, but English law applies just like anywhere else in England.
As a non British person I would think the center of the city would be some point equidistant centrally between the boundaries of the original roman city wall, in the square mile, but the actual center of the city seems to have migrated since then.
Modern London encompasses two historic settlements (the city of London, and westminster). What is now consider the centre is somewhere between the two.
I believe the saying is "The market can stay wrong for longer than you can stay solvent."
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